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प्रश्न
The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.
उत्तर
Given:
Radius = 17.5 cm
Length of the arc = 44 cm
Now,
Length of the arc`=( 2pi"r"theta)/360`
`=> 44 = 2 xx 22/7xx17.5xxtheta/360`
`=> theta = (44xx7xx360)/(44xx17.5)`
⇒ θ = 144
Also,
Area of the sector `=(pi"r"^2theta)/360`
`=22/7xx17.5xx17.5xx144`
= 385 cm2
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